TSTP Solution File: SET731+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 00:13:44 EDT 2022

% Result   : Theorem 8.21s 2.46s
% Output   : CNFRefutation 8.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   21 (   9 unt;   2 nHn;  19 RR)
%            Number of literals    :   39 (   2 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_42,plain,
    ( apply(X1,esk14_3(X1,X2,X3),X3)
    | ~ member(X3,image2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_42) ).

cnf(i_0_132,negated_conjecture,
    image2(esk41_0,esk43_0) = esk45_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_132) ).

cnf(i_0_129,negated_conjecture,
    ~ surjective(esk42_0,esk43_0,esk45_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_129) ).

cnf(i_0_126,plain,
    ( surjective(X1,X2,X3)
    | member(esk40_3(X1,X2,X3),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_126) ).

cnf(i_0_43,plain,
    ( member(esk14_3(X1,X2,X3),X2)
    | ~ member(X3,image2(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_43) ).

cnf(i_0_130,negated_conjecture,
    ( apply(esk42_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk41_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_130) ).

cnf(i_0_125,plain,
    ( surjective(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ptnuaca9/lgb.p',i_0_125) ).

cnf(c_0_140,plain,
    ( apply(X1,esk14_3(X1,X2,X3),X3)
    | ~ member(X3,image2(X1,X2)) ),
    i_0_42 ).

cnf(c_0_141,negated_conjecture,
    image2(esk41_0,esk43_0) = esk45_0,
    i_0_132 ).

cnf(c_0_142,negated_conjecture,
    ~ surjective(esk42_0,esk43_0,esk45_0),
    i_0_129 ).

cnf(c_0_143,plain,
    ( surjective(X1,X2,X3)
    | member(esk40_3(X1,X2,X3),X3) ),
    i_0_126 ).

cnf(c_0_144,plain,
    ( member(esk14_3(X1,X2,X3),X2)
    | ~ member(X3,image2(X1,X2)) ),
    i_0_43 ).

cnf(c_0_145,negated_conjecture,
    ( apply(esk41_0,esk14_3(esk41_0,esk43_0,X1),X1)
    | ~ member(X1,esk45_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_141]) ).

cnf(c_0_146,negated_conjecture,
    member(esk40_3(esk42_0,esk43_0,esk45_0),esk45_0),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

cnf(c_0_147,negated_conjecture,
    ( member(esk14_3(esk41_0,esk43_0,X1),esk43_0)
    | ~ member(X1,esk45_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_141]) ).

cnf(c_0_148,negated_conjecture,
    ( apply(esk42_0,X1,X2)
    | ~ member(X2,esk45_0)
    | ~ member(X1,esk43_0)
    | ~ apply(esk41_0,X1,X2) ),
    i_0_130 ).

cnf(c_0_149,negated_conjecture,
    apply(esk41_0,esk14_3(esk41_0,esk43_0,esk40_3(esk42_0,esk43_0,esk45_0)),esk40_3(esk42_0,esk43_0,esk45_0)),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_150,negated_conjecture,
    member(esk14_3(esk41_0,esk43_0,esk40_3(esk42_0,esk43_0,esk45_0)),esk43_0),
    inference(spm,[status(thm)],[c_0_147,c_0_146]) ).

cnf(c_0_151,plain,
    ( surjective(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ apply(X1,X4,esk40_3(X1,X2,X3)) ),
    i_0_125 ).

cnf(c_0_152,negated_conjecture,
    apply(esk42_0,esk14_3(esk41_0,esk43_0,esk40_3(esk42_0,esk43_0,esk45_0)),esk40_3(esk42_0,esk43_0,esk45_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_146]),c_0_150])]) ).

cnf(c_0_153,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_150])]),c_0_142]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET731+4 : TPTP v8.1.0. Bugfixed v2.2.1.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 22:42:43 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.21/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.21/2.46  # No SInE strategy applied
% 8.21/2.46  # Trying AutoSched0 for 150 seconds
% 8.21/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 8.21/2.46  # and selection function SelectCQArNTNpEqFirst.
% 8.21/2.46  #
% 8.21/2.46  # Preprocessing time       : 0.025 s
% 8.21/2.46  # Presaturation interreduction done
% 8.21/2.46  
% 8.21/2.46  # Proof found!
% 8.21/2.46  # SZS status Theorem
% 8.21/2.46  # SZS output start CNFRefutation
% See solution above
% 8.21/2.46  # Training examples: 0 positive, 0 negative
% 8.21/2.46  
% 8.21/2.46  # -------------------------------------------------
% 8.21/2.46  # User time                : 0.044 s
% 8.21/2.46  # System time              : 0.007 s
% 8.21/2.46  # Total time               : 0.051 s
% 8.21/2.46  # Maximum resident set size: 7124 pages
% 8.21/2.46  
%------------------------------------------------------------------------------